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3785957682 = 2313735631181
BaseRepresentation
bin1110000110101001…
…0010000100110010
3100202211221120120220
43201222102010302
530223201121212
61423402113510
7162551052333
oct34152220462
910684846526
103785957682
111673090051
12897aab896
1348448b960
1427cb5828a
1517259538c
hexe1a92132

3785957682 has 64 divisors (see below), whose sum is σ = 8287767936. Its totient is φ = 1145940480.

The previous prime is 3785957611. The next prime is 3785957701. The reversal of 3785957682 is 2867595873.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3205132 + ... + 3206312.

It is an arithmetic number, because the mean of its divisors is an integer number (129496374).

Almost surely, 23785957682 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3785957682, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4143883968).

3785957682 is an abundant number, since it is smaller than the sum of its proper divisors (4501810254).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3785957682 is a wasteful number, since it uses less digits than its factorization.

3785957682 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1835.

The product of its digits is 25401600, while the sum is 60.

The square root of 3785957682 is about 61530.1363723501. The cubic root of 3785957682 is about 1558.5661932659.

The spelling of 3785957682 in words is "three billion, seven hundred eighty-five million, nine hundred fifty-seven thousand, six hundred eighty-two".

Divisors: 1 2 3 6 13 26 39 73 78 146 219 438 563 949 1126 1181 1689 1898 2362 2847 3378 3543 5694 7086 7319 14638 15353 21957 30706 41099 43914 46059 82198 86213 92118 123297 172426 246594 258639 517278 534287 664903 1068574 1120769 1329806 1602861 1994709 2241538 3205722 3362307 3989418 6724614 8643739 17287478 25931217 48537919 51862434 97075838 145613757 291227514 630992947 1261985894 1892978841 3785957682